Flying to Kampala with a tailwind a plane averaged 158 km?h/ On the return trip the plane only averaged 112km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
*needs two equations*

Question

Flying to Kampala with a tailwind a plane averaged 158 km?h/  On the return trip the plane only averaged 112km/h while flying back into the same wind.  Find the speed of the wind and the speed of the plane in still air.  
*needs two equations*

vishal_kothari · Answer

The averages are given. So that means the first trip is the equivalent of of 158 miles in one hour. Since this is with the wind, using the distance = rate x time, we have :
158 = (a + w) 1, where a = airspeed, w - wind speed, and 1 is the time.

For the second one, 112 = (a - w) x 1, a = airspeed, etc.

158 = a + w
112 = a - w Add the two equations

270 = 2a
135 = a So the airspeed is 135 km/h

158 = 135 + w
23 = w The windspeed is 23 km/h